Check whether pair of linear equations 2x + y - 6=0 and 4x-2y-4=0 are consitent. so,
solve the equations graphically.
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2x + y – 6 = 0,
4x – 2y – 4 = 0
on comparing with ax+by+c+0
a1= 2 , b1= 1, c1= -6
a2=4, b2=-2, c2= -4
a1/a2 = 2/4 = 1/2
b1/b2 = -1/2 and
c1/c2 = -6/-4 = 3/2
Hence, a1/a2 ≠ b1/b2
Therefore, these linear equations are intersecting each other at one point and thus have only one possible solution. Hence, the pair of linear equations is consistent.
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